The generator matrix

 1  0  0  0  1  1  1  2  1  8  1  0  1  1 10  1  1  4  1  6  2  1  1  6 14  1  6  1  1 14  1  1 12  1 10  8  1 12  1 14 14  1  1  1 14  1  1  0  1  1  0 12  6  1 10  0  4  6  6  1  6  1  1  1  1  2  4  4 10  1 14  1  1  1  1  1  4  1 12  8  1
 0  1  0  0  0 13 13  1  8  1 11 12 15  4  1  8  8  1 13  1 14 10  5  2 14  3  1 13  6  1  7  0  2  7  1  2  5  1  2  1 12 15 15  6 14  4  1 10 13 14  1  1  1  0  6  1  6 14 10  6  0 12  8 12  0  1 14  2  1  1  4  7  5  2  5  0  1  4  1  1  0
 0  0  1  0  4  8 12  4  9  3 11  1  5  1 13  3 10  8  6  4  6  1  2  1  1  1 15 13  0  1 14 15  1  4  2  2 13  1 10  0  1  5  8 11  1  8 15  1 15 12  0 12  3 10  1 15  1  2 12  3 10 14 10  2  7  3  1  1  0  8  1  1  2 12 14  5 14  3  4 14  8
 0  0  0  1  7 15  8  5  1  3 15  5  8  4 12 13  3  5  5  0  1 10  0 11  4 14 10 13  6 15 10 10 13  1  3  1  3 11  1  8  6  4  4  3  2  6  7  3  0  7 11 10 13  2  1  9  2  1  1  9  1  7  1 10  0  0  8 12 10 14  6 14 14  0  9  6  8  3 13 12  2
 0  0  0  0  8  0  8  8  0  0  8  8  0  8  8  0  8  8  0  0  0  8  8  8  0  0  8  8  8  8  0  0  0  8  0  8  0  0  0  8  8  8  0  8  8  0  8  8  0  8  8  0  8  0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  0  8  0  8  0  8  8  0  0  8  0  8  0

generates a code of length 81 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+388x^73+1642x^74+3164x^75+5695x^76+7426x^77+11044x^78+12346x^79+16454x^80+15298x^81+16119x^82+12902x^83+11053x^84+6910x^85+5202x^86+2768x^87+1577x^88+584x^89+231x^90+138x^91+60x^92+12x^93+33x^94+10x^95+8x^96+6x^97+1x^102

The gray image is a code over GF(2) with n=648, k=17 and d=292.
This code was found by Heurico 1.16 in 219 seconds.